The document discusses ways to prove if lines are parallel or not using a transversal. It mentions the corresponding angles postulate, which states that if two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel. The converse of this statement is also discussed - if the lines are parallel, then the corresponding angles are equal. Students are asked to write out the different ways to prove lines are parallel based on their notes from the previous class.

1. Proving that lines are (and aren’t) para ll el

2. Corresponding Angles Postulate Two lines are cut by a transversal if the two lines are parallel then the corresponding angles are equal. What would the converse of this statement be? 1 4 7 8 2 3 5 6 Your Name Here If the corresponding angles are equal then the two lines are parallel

3. Find a value of x that makes the m//n 1 4 7 8 2 3 5 6 Your Name Here

4. Other ways to prove // What else did we prove on Friday? Could you take the converse of those as well? 1 4 7 8 2 3 5 6 Your Name Here If the corresponding angles are equal then the two lines are parallel

5. Other ways to prove // What else did we prove on Friday? Could you take the converse of those as well? Do you think they would be true as well? 1 4 7 8 2 3 5 6 Your Name Here

6. You try Assuming that two lines are cut by a transversal Write your notes from Friday in the form of a conditional Take the converse of that and discuss with your neighbors if you think that will be true. In 10 minutes I am going to pull 3 names to discuss them. If the corresponding angles are equal then the two lines are parallel. 1 4 7 8 2 3 5 6 Your Name Here

7. Summary There are at least 4 ways to prove lines are parallel (CA, AIA, AEA & CIA) List them out (with pictures) Things to think about could you use these relationships to setup equations? How many different angle measures would you see if two parallel lines were cut by two parallel transversals (like on the first page)